Design: Blocked RCT, with 2 levels, and randomization done at level 1 (individual level).
Models: Constant treatment effects, fixed treatment effects, and random treatment effects.
Default parameters:
Parameters by model type:
Assumptions:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6 (This should not affect power!)
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.8, 0.8, 0.8
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.125 | 0.547 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.126 | 0.381 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.126 | 0.485 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.124 | 0.435 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.124 | 0.541 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.125 | 0.374 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.125 | 0.471 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.125 | 0.432 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2f
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.126 | 0.467 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.125 | 0.268 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.127 | 0.382 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.125 | 0.328 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.472 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 20 | 0.431 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 51 | 0.485 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 51 | 0.443 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.476 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 20 | 0.43 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 50 | 0.48 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 50 | 0.434 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 21 | 0.378 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.331 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 1 | 0.375 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 1 | 0.33 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2r